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Finding the Fourth Proportional to 1,252.16, 1,877.91 and 471.67

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Solution

The fourth proportional to 1,252.16, 1,877.91 and 471.67 is: 707.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.16 : 1,877.91 = 471.67 : x
  2. Step 2: Convert to fraction form
    1,252.16/1,877.91 = 471.67/x
  3. Step 3: Cross multiply
    1,252.16x = 1,877.91 × 471.67
  4. Step 4: Simplify right side
    1,252.16x = 885,742.06
  5. Step 5: Solve for x
    x = 885,742.06/1,252.16
  6. Step 6: Final answer
    x = 707.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.